Pregled bibliografske jedinice broj: 914037
Bounds for Shannon and Zipf-Mandelbrot entropies
Bounds for Shannon and Zipf-Mandelbrot entropies // Mathematical methods in the applied sciences, 40 (2017), 18; 7316-7322 doi:10.1002/mma.4531 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 914037 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Bounds for Shannon and Zipf-Mandelbrot entropies
Autori
Adil Khan, Muhammad ; Pečarić, Đilda ; Pečarić, Josip
Izvornik
Mathematical methods in the applied sciences (0170-4214) 40
(2017), 18;
7316-7322
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex function ; Jensen inequality ; Shannon entropy ; Zipf-Mandelbrot entropy
Sažetak
Shannon and Zipf-Mandelbrot entropies have many applications in many applied sciences, for example, in information theory, biology and economics, etc. In this paper, we consider two refinements of the well-know Jensen inequality and obtain different bounds for Shannon and Zipf-Mandelbrot entropies. First of all, we use some convex functions and manipulate the weights and domain of the functions and deduce results for Shannon entropy. We also discuss their particular cases. By using Zipf-Mandelbrot laws for different parameters in Shannon entropies results, we obtain bounds for Zipf-Mandelbrot entropy. The idea used in this paper for obtaining the results may stimulate further research in this area, particularly for Zipf-Mandelbrot entropy.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Hrvatsko katoličko sveučilište, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
